R. Alicandro, G. Lazzaroni, M. Palombaro, P. Wozniak: Derivation of linear elasticity from energy functionals with infinitely many wells (Preprint) 2026 S. Almi, A. F. Donnarumma, M. Friedrich: Asymptotic analysis for heterogeneous elastic energies with material voids (Submitted Paper) http://arxiv.org/abs/2602.17374 2026 S. Almi, R. Durastanti, F. Solombrino: Mean field first order optimality condition under low regularity of controls Siam Journal on Control and Optimization (Accepted Paper) http://arxiv.org/abs/2504.00878 2026 L. Ambrosio, F. Renzi, F. Vitillaro: The superposition principle for local 1-dimensional currents Nonlinear Analysis Vol. 262, 2026 L. Ambrosio, G. Somma, S. Verzellesi, D. Vittone: Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups (Preprint) http://arxiv.org/abs/2602.00804 2026 F. Ancona, E. Marconi, L. Talamini: On the structure of entropy dissipation and regularity for quasi-entropy solutions to 1d scalar conservation laws and to isentropic Euler system with $\gamma=3$ (Preprint) 2026 G. André, R. Tione: Constancy of the index for gradient mappings (Submitted Paper) http://arxiv.org/abs/2506.03906 2026 A. Aussedat: Characterization of measures on the real line that are critically unstable under small shifts (preprint) http://arxiv.org/abs/2603.00775 2026 J. F. Babadjian, M. Rakovsky, R. Rodiac: Critical points of the two-dimensional Ambrosio-Tortorelli functional with convergence of the phase-field energy (Submitted Paper) 2026 P. Baldi, V. Julin, D. A. La Manna: Liquid drop with capillarity and rotating traveling waves Archive for Rational Mechanics and Analysis Vol. 250, p. Article number 4, 2026 R. Barbato, F. de Giovanni, A. L. Masiello: The asymptotic behavior of the first Robin eigenvalue with negative parameter as $p$ goes to $+\infty$ Communications in Contemporary Mathematics 2026 D. Barilari, T. Bossio, V. Franceschi: Magnetic flows on 3D contact sub-Riemannian manifolds via the Rumin complex Transaction of the AMS (Accepted Paper) p. 27, 2026 G. Bellettini, V. Lorenzini, M. Novaga, R. Scala: A fourth-order regularization of the curvature flow of immersed plane curves with Dirichlet boundary conditions (Submitted Paper) http://arxiv.org/abs/2601.04385 2026 G. Bellettini, R. Marziani, R. Scala: $\Gamma$-convergence of free discontinuity problems for circle-valued maps in the linear regime (Preprint) 2026 G. Bevilacqua, C. Lonati, L. Lussardi, A. Marzocchi: A variational analysis of nematic axisymmetric films: the covariant derivative case Calc. Var. Partial Differential Equations 2026 G. Bevilacqua, C. Lonati, L. Lussardi, A. Marzocchi: Existence and uniqueness of minimizers for axisymmetric nematic films (preprint) http://arxiv.org/abs/2601.09348 2026 F. Bianchi, G. Stefani, A. C. Zagati: A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodecki spaces Nonlinear Anal. Vol. 263, p. Paper No. 113948, 2026 M. Bonafini, V. P. C. Le, R. Molinarolo: On fractional semilinear wave equations in non-cylindrical domains (preprint) http://arxiv.org/abs/2601.18355 2026 A. Braides, G. Dal Maso, C. Le Bris: A closure theorem for $\Gamma$-convergence and H-convergence with applications to non-periodic homogenization Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 43, p. 239--271, 2026 L. Brasco, L. Briani, F. Prinari: Low eigenvalues of the $p-$Laplacian in general open sets (Preprint) p. 38, 2026 D. Brazke, G. Götzmann, H. Knüpfer: $\Gamma$-Convergence of Higher-Order Phase Transition Models Nonlinear Analysis Vol. 263, N. 113971, 2026 C. Brizzi, G. Friesecke, T. Ried: $h$-Wasserstein barycenters Journal of Mathematical Analysis and Applications Vol. 553, 2026 C. Brizzi, L. Portinale: On the $q$-integrability of $p$-Wasserstein barycenters (preprint) http://arxiv.org/abs/2602.18293 2026 G. Buttazzo, J. Casado-Diaz, F. Maestre: Optimization problems for elliptic PDEs (Preprint) 2026 T. Caillet, F. Coudreuse: Generalized Logarithmic Sobolev Inequality by the JKO Scheme (preprint) http://arxiv.org/abs/2601.16620 2026 G. Canevari, F. L. Dipasquale, B. Stroffolini: Liftings of Sobolev maps into closed Riemannian manifolds via double coverings and minimal connections relative to planar sets, with an application to ferronematics (preprint) http://arxiv.org/abs/2603.01985 2026 N. Cangiotti, I. Gallo, D. Spitzkopf: Nonlinear Schrödinger Equation with magnetic potential on metric graphs (preprint) http://arxiv.org/abs/2601.23115 2026 D. Carazzato, A. Pratelli, I. Topaloglu: Particle approximation of nonlocal interaction energies Nonlinear Analysis Vol. 263, 2026 A. Carbotti: The Pólya-Szegö principle in the fractional setting: a glimpse on nonlocal functional inequalities To appear as bookchapter in "New Frontiers in Homogenization and Fractional Calculus" (Accepted Paper) http://arxiv.org/abs/2509.12023 p. 24, 2026 G. Catino, P. Mastrolia, D. D. Monticelli: Uniqueness of critical metrics for a quadratic curvature functional J. Math. Pures Appl. (Accepted Paper) 2026 G. Catino, D. D. Monticelli: Semilinear elliptic equations on manifolds with nonnegative Ricci curvature J. Eur. Math. Soc. Vol. 28, N. 1, p. 359-392, 2026 A. Cesaroni, I. Fragalà, M. Novaga: A note on the honeycomb optimality among periodic convex tilings Journal of Convex Analysis Vol. 33, N. 1&2, p. 421-428, 2026 A. Chambolle, V. Crismale: A characterization of Generalized functions of Bounded Deformation J. Funct. Anal. Vol. 290, N. 9, p. Art. n. 111391, 2026 M. Cicalese, L. Kreutz, I. Mansoor: Discrete Quantitative Isocapacitary Inequality: Fluctuation Estimates (Preprint) p. 27, 2026 M. Cicalese, D. Reggiani, F. Solombrino: From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^1$ to $S^2$ limit Interfaces and Free Boundaries 2026 E. Cinti, M. Talluri: On a fractional semilinear Neumann problem arising in Chemotaxis Journal of Differential Equations (Accepted Paper) http://arxiv.org/abs/2507.12181 Vol. 452, 2026 S. Cito: Optimality and stability of the radial shapes for the Sobolev trace constant Nonlinear Analysis 2026 G. Citti, N. Dirr, F. Dragoni, R. Grande: Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group (Accepted Paper) http://arxiv.org/abs/2411.15814 2026 S. Conti, V. Crismale, A. Garroni, A. Malusa: Phase-field approximation of sharp-interface energies accounting for lattice symmetry (preprint) http://arxiv.org/abs/2601.07497 2026 A. Corbisiero, C. Leone, C. Mantegazza: Quasiconvexity in the Riemannian Setting Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl. (Accepted Paper) 2026 A. Cosenza, M. Goldman, M. Koser: New dimensional bounds for a branched transport problem SIMA 2026 V. Crismale, L. De Luca, R. Scala: Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes Calc. Var. Partial Differential Equations Vol. 65, N. 5, 2026 A. Cucinotta, M. Magnabosco, D. Semola: New Topological Restrictions For Spaces With Nonnegative Ricci Curvature (preprint) http://arxiv.org/abs/2601.14231 2026 M. D'Achille, F. Mattesini, D. Trevisan: Concentration for random Euclidean combinatorial optimization (preprint) http://arxiv.org/abs/2602.21851 2026 L. D'Arca, L. Fanelli, V. Franceschi, D. Prandi: Unweighted Hardy inequalities on the Heisenberg group and in step-two Carnot groups (Preprint) http://arxiv.org/abs/2603.04086 2026 G. Dal Maso, D. Donati: $$-convergence and homogenisation for free discontinuity functionals with linear growth in the space of functions with bounded deformation (Submitted Paper) http://arxiv.org/abs/2601.19591 2026 M. Della Rossa, L. Freddi: Pattern-preserving optimal control problems with increasing time horizon ESAIM: COCV Vol. 31, N. 102, 2026 M. Della Rossa, L. Freddi, Thiago Alves Lima: Pattern preservation in finite to infinite-horizon optimal control problems for dissipative systems (preprint) http://arxiv.org/abs/2602.14944 2026 M. Di Marco, S. Don, D. Vittone: SBV functions in Carnot-Carathéodory spaces Nonlinear Anal. Vol. 262, p. 113944, 2026 A. Diana, N. Fusco, C. Mantegazza: Stability for the Surface Diffusion Flow Calc. Var. PDE Vol. 65, N. 1, p. Paper No. 6, 34 pp., 2026 S. Dipierro, M. Novaga, E. Valdinoci, R. Villa: Non-local planelike minimizers and $\Gamma$-convergence of periodic energies to a local anisotropic perimeter (Submitted Paper) http://arxiv.org/abs/2601.08677 2026 S. Dweik: Smoothness of the free boundary in a weighted p-Laplacian problem (Submitted Paper) 2026 L. Esposito, L. Lamberti: Morrey estimates for the gradient in non-linear variational transmission problems (Preprint) 2026 V. Felli, L. Liverani, R. Ognibene: On the splitting of Neumann eigenvalues in perforated domains (preprint) http://arxiv.org/abs/2601.13129 2026 E. Ficola, T. Schmidt: Existence theory for linear-growth variational integrals with signed measure data Adv. Calc. Var. Vol. 19, N. 1, p. 97-129, 2026 E. Ficola, T. Schmidt: Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data J. Funct. Anal. Vol. 290, N. 8, 2026 B. Firester, R. Tsiamis: New minimal surfaces in the sphere from capillary minimal cones (preprint) http://arxiv.org/abs/2602.20124 2026 B. Firester, R. Tsiamis, Y. Wang: Area-minimizing capillary cones (preprint) http://arxiv.org/abs/2601.18794 2026 B. Firester, R. Tsiamis, Y. Wang: Stability inequalities for one-phase cones (preprint) http://arxiv.org/abs/2601.16966 2026 E. Florit-Simon: Phase transitions with bounded index: Parallels to De Giorgi's conjecture (preprint) http://arxiv.org/abs/2602.03136 2026 M. Friedrich, J. Matias, E. Zappale: Structured Deformation in Linearized Elasticity (Preprint) 2026 I. Ftouhi, E. Martinet: Numerical exploration of the range of shape functionals using neural networks (Preprint) 2026 K. Fässler, A. Pinamonti, K. Zambanini: On low-dimensional uniform rectifiability in Heisenberg groups (Preprint) 2026 L. Gennaioli, G. Stefani: Sharp conditions for the BBM formula and asymptotics of heat content-type energies Arch. Ration. Mech. Anal. 2026 N. Gigli, F. Rott, M. Zanardini: PDE aspects of the dynamical optimal transport in the Lorentzian setting (preprint) http://arxiv.org/abs/2601.13167 2026 D. Giovagnoli, D. Jesus: A fully nonlinear transmission problem degenerating on the interface Calculus of Variations and Partial Differential Equations 2026 G. Giovannardi, A. Goffi: Transport-diffusion equations with irregular data and applications to stability estimates for second-order Hamilton-Jacobi PDEs (Preprint) http://arxiv.org/abs/2602.07969 2026 R. Grande, S. Krömer, M. Kruzik, G. Tomassetti: Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains Journal of Nonlinear Science 2026 R. Indergand, D. Kochmann, A. Ruland, A. Tribuzio, C. Zillinger: On a $T_3$-Structure in Geometrically Linearized Elasticity: Qualitative and Quantitative Analysis and Numerical Simulations Math. Models Methods Appl. Sci. 2026 J. Jackson, A. R. Mészáros: Unconditional well-posedness of the master equation for monotone mean field games of controls (Preprint) http://arxiv.org/abs/2601.22845 2026 A. Jevnikar, S. H. Moon: Existence results for a non-relativistic Chern-Simons model with purely mutual interaction (preprint) http://arxiv.org/abs/2601.06901 2026 A. Kroshnin, E. Stepanov: Tropical optimal transportation and large deviations principle (Preprint) 2026 A. Kubin, T. Laux, A. Marveggio: The Verigin problem with phase transition as a Wasserstein flow (preprint) http://arxiv.org/abs/2601.20001 2026 R. Kumar, A. Ortega: Fractional critical systems with mixed boundary conditions Zeitschrift für angewandte Mathematik und Physik Vol. 77, N. 89, p. 24, 2026 C. Labourie: Uniform rectifiability of brittle fractures in linear elasticity (Preprint) 2026 X. Lamy, R. Tione: Hyperbolic regularization effects for degenerate elliptic equations (preprint) http://arxiv.org/abs/2601.04753 2026 A. Lemenant, R. Mougenot: Boundary regularity for the polyharmonic Dirichlet problem Annales de la Faculté des Sciences de Toulouse (AFST) (Accepted Paper) 2026 K. Lin, F. Santambrogio: Existence of a solution of the TV Wasserstein gradient flow (preprint) http://arxiv.org/abs/2601.22847 2026 F. P. Maiale: A note on harmonic polynomials on Heisenberg and Carnot groups (preprint) http://arxiv.org/abs/2602.02200 2026 C. Mantegazza, F. Oronzio: $X$-ADM Mass and $X$-Positive Mass Theorem (Preprint) 2026 C. Mantegazza, F. Oronzio: Distance Functions, Curvature and Topology (Preprint) 2026 E. Micalizio, M. Morandotti, H. Shum, M. Zoppello: Purcell swimmer near a wall (Submitted Paper) p. 11, 2026 A. Mondino, R. Perales: Gromov-Hausdorff and intrinsic flat convergence of RCD(K,N) and Kato spaces (Submitted Paper) http://arxiv.org/abs/2602.03280 2026 M. Muratori, T. Petitt, F. Quirós: An inhomogeneous porous medium equation with non-integrable data: asymptotics Nonlinear Analysis (Accepted Paper) http://arxiv.org/abs/2403.12854 2026 M. Novaga, F. Onoue, E. Paolini: Optimal sets for a geometric oscillation energy (Submitted Paper) http://arxiv.org/abs/2602.22910 2026 G. Palatucci, M. Piccinini: Mixed local and nonlocal eigenvalues Nonlinear Anal. Vol. 262, N. 113922, 2026 E. Pasqualetto, T. Schultz, J. Taipalus: A categorical perspective on extended metric-topological spaces (preprint) http://arxiv.org/abs/2601.07505 2026 T. Pham, A. Pinamonti, T. The Dung, B. Xue: Horizontal Kakeya maximal operators in finite Heisenberg groups: Exact exponents and applications (Preprint) 2026 A. Pinzi, F. Riva, G. Savaré: A direct method for doubly nonlinear equations via convexification in spaces of measures and duality (preprint) http://arxiv.org/abs/2602.09808 2026 F. Quattrocchi: Variational structures for the Fokker--Planck equation with general Dirichlet boundary conditions Calculus of Variations and Partial Differential Equations Vol. 65, N. 23, 2026 G. Siclari, B. Velichkov: On the blow-up of the vectorial Bernoulli free boundary problem (preprint) http://arxiv.org/abs/2602.00741 2026 G. Stefani: On a weighted version of the BBM formula J. Math. Anal. Appl. Vol. 557, N. 2, p. Paper No. 130272, 2026 R. Tione: Rigidity of shear flows of the Euler equations in the plane (preprint) http://arxiv.org/abs/2603.03153 2026 G. Vianello: Minimality of free-boundary axial hyperplanes in high dimensional circular cones via calibration (Preprint) 2026